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Finding the Fourth Proportional to 255,997.87, 383,982.42 and 78,504.39

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Solution

The fourth proportional to 255,997.87, 383,982.42 and 78,504.39 is: 117,752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,997.87 : 383,982.42 = 78,504.39 : x
  2. Step 2: Convert to fraction form
    255,997.87/383,982.42 = 78,504.39/x
  3. Step 3: Cross multiply
    255,997.87x = 383,982.42 × 78,504.39
  4. Step 4: Simplify right side
    255,997.87x = 30,144,305,947.22
  5. Step 5: Solve for x
    x = 30,144,305,947.22/255,997.87
  6. Step 6: Final answer
    x = 117,752.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.